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For problem use a computer to simulate the experiment for

Question: For Problem use a computer to simulate the experiment for many trials. Compare the estimate to the actual outcomes of the computer experiment. Also, compute the minimum mean square error and compare it to the theoretical value obtained in Problem.

Problem: A discrete random variable X has the PMF

If the experiment that produces a value of X is conducted, find the minimum mean square error predictor of the outcome. What is the minimum mean square error of the predictor?

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